TIlie DIRECTIONS: Sketch the normal curve and find the corresponding area between z = 0 and each of the following z-value. 1.z=0.96 2.z= -1.74 3.z=2.18 4.z=-2.69 5.z=2.93

The length of a 13-year-old female's upper arm is approximately normally distributed with mean μ = 34.6 cm and a standard deviation of o=2.4 cm. Complete parts (a) through (c) below. (a) Draw a normal curve with the parameters labeled. Choose the correct graph below. A. O C. A. A -4.8 -2.4 2.4 4.8 7.2 C. -7.2 -X -103.8 -69.2 -34.6 0 34.6 69.2 103.8 I -X B. Q D. (b) Shade the region that represents the proportion of 13-year-old females whose upper arm length is less than 32 cm. The horizontal axis tick marks are the same as those in part (a). Choose the correct graph below. B. I I D. 27.4 29.8 32.2 34.6 -X 37 39.4 41.8 -X -101.4 -66.8 -32.2 2.4 37 71.6 106.2 -X

Please find the area under the normal curve for each 1 of these.

ARELLANO UNIVERSITY MODULE IN STATISTICS AND PROBABILITY 0.3413 0.5 P(z>1) = 0.5000- 0.3413 0.1587or 15.87% IV. Exercises Use the z Table to find the area that corresponds to each of the following. Sketch and label each curve. 1. 2. 3. 4. 5. 6. DEiv 7. at most z =-1.8 8. at least z = 1.96 9. to the right of z 0.33 10. between z = -0.78 and z =-1.95

Match each​ P-value with the graph that displays its area without performing any calculations. Explain your reasoning. P=0.2776 and P=0.0212.                       Graph A (a) z=−2.03         A graph labeled (a) has a normal curve above and centered on the 0 of a horizontal axis labeled from negative 3 to 3 in increments of 1. A vertical line segment extends from the curve to the horizontal axis at the labeled point z is equal to negative 2.03. The area under the curve to the left of z is shaded.                     Graph B (b) z=−0.59         A graph labeled (b) has a normal curve above and centered on the 0 of a horizontal axis labeled from negative 3 to 3 in increments of 1. A vertical line segment extends from the curve to the horizontal axis at the labeled point z is equal to negative 0.59. The area under the curve to the left of z is shaded. Choose the correct answer/ number   Graph ▼ 1.(a) 2.(b) displays the area for P=0.2776 and graph ▼…

(b) The figure to the right represents the normal curve with u= 266 days and o = 16 days. The area between x = 285 and x= 300 is 0.1007. Provide two interpretations of this area. Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals. Use ascending order.) O A. The proportion of human pregnancies that last less than or more than days is O B. The proportion of human pregnancies that last between and days is X 266 285 300 Provide a second interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals. Use ascending order.) O A. The probability that a randomly selected human pregnancy lasts between and days is O B. The probability that a randomly selected human pregnancy lasts less than or more than days is

(a) The figure to the right represents the normal curve with u 266 days and 16 days. The area to the left of X=245 is 0.0947. Provide two interpretations of this area. Provide one interpretation of the area using the given values. Select the comect choice below and fill in the answer boxes to complete your choice. (Type integers or decimals.) ⒸA. The proportion of human pregnancies that last less than OB. The proportion of human pregnancies that last more than days is days is 4. 245 246 C

Suppose the lengths of human pregnancies are normally distributed with u= 266 days and o = 16 days. Complete parts (a) and (b) below. (a) The figure to the right represents the normal curve with u= 266 days and o = 16 days. The area to the right of X = 300 is 0.0168. Provide two interpretations of this area. Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals.) O A. The proportion of human pregnancies that last less than days is 266 300 O B. The proportion of human pregnancies that last more than days is Provide a second interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals.) O A. The probability that a randomly selected human pregnancy lasts more than days is O B. The probability that a randomly selected human pregnancy lasts less than days is

Solve for b

ARELLANO UNIVERSITY MODULE IN STATISTICS AND PROBABILITY 0.3413 0.5 P(z>1) = 0.5000 - 0.3413 = 0.1587or 15.87% %3! IV. Exercises Use the z Table to find the area that corresponds to each of the following. Sketch and label each curve. 1. 2. 3. 4. z -2.18 5. Betweenz=-0.50 and z 0.50 6. below z =-0.58 7. at most z =-1.8 8. at least z =1.96 9. to the right of z 0.33 10. between z=-0.78 and z =-1.95